"We've been together a while and I'm not going anywhere and we'd like to start a family. I'd prefer to be married when I have kids," Rzeznik, 48, told PEOPLE.
Episcopal priest and longtime friend Rev. Michael Ralph married the couple under an old oak tree in front of about 120 guests, which included Rzeznik's bandmates. "The whole thing was just about family and friends. It was really beautiful and romantic," said Rzeznik.
Guests noshed on appetizers during cocktail hour and ate roasted chicken, garlic mash potatoes and wild mushroom ravioli for the main course. Gallo looked stunning in an Enzoani gown and Rzeznik opted for a dark green Gucci suit instead of a tuxedo.
Rzeznik, who is currently on tour promoting the Dolls' tenth album, Magnetic, did not sing at the wedding. "We made it perfectly clear that I would not be singing at all at our wedding. Our song was Adele's 'Make You Feel My Love.' I love her version of that song," he said.
The couple are planning a honeymoon in Italy and France after Rzeznik is done touring in the fall. As for how many kids the couple plans to have, Rzeznik said, "We'll start with one and deal with it from there."
This is the second marriage for Rzeznik, who divorced his first wife in 1997 after four years. He started dating Gallo in 2005.